We are given an equation in ax+by=c form, and we need to transform it into y=mx+b.
5y-3x=12
Add 3x to both sides:
5y=3x+12
Divide both sides by 5:
5y/5=(3x+12)/5
y=3/5x+12/5
So, the equivalent equation in slope-intercept form is:
y=3/5x+12/5
or
y=.6x+2.4